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Finding the Fourth Proportional to 31,684.46, 47,523.03 and 8,312.72

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Solution

The fourth proportional to 31,684.46, 47,523.03 and 8,312.72 is: 12,468.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,684.46 : 47,523.03 = 8,312.72 : x
  2. Step 2: Convert to fraction form
    31,684.46/47,523.03 = 8,312.72/x
  3. Step 3: Cross multiply
    31,684.46x = 47,523.03 × 8,312.72
  4. Step 4: Simplify right side
    31,684.46x = 395,045,404.33
  5. Step 5: Solve for x
    x = 395,045,404.33/31,684.46
  6. Step 6: Final answer
    x = 12,468.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.